Chapter 4. Python - Numerics in Python

Google drive folder with Jupyter Notebooks used in class: Jupyter Notebooks from class

• Outlook
• Reading Materials
• Array manipulations in NumPy
  • Python lists vs. NumPy arrays
  • Performance comparison
  • Creating NumPy data arrays
  • Querying properties of NumPy arrays
  • NumPy array indexing
  • NumPy array slicing and masking
  • Copies and views
  • Linear algebraic operations
  • Reductions of NumPy arrays
  • Loading data files
  • An example: Numerical differentiation
  • An example: Revisiting HW3
  • An example: Spectra of random matrices
• Matplotlib
  • IPython
  • Matplotlib and pyplot
  • Matplotlib and Jupyter Notebooks
  • Labels, titles, grids, legends
  • Plotting multiple lines
  • Advanced plots – 2D plots, 3D plots, subplots and more
• SymPy
  • An example: Finding wavespeeds of a hyperbolic system
• SciPy
  • An example: Solving a nonlinear, chaotic, ODE